Trying to get rid of RC4 encryption in WHM

So in short, the current version of Firefox is blocking access to one of my sites (domain.com) because it's using RC4 encryption. Reading up on the subject, I can understand why. The problem is, I can't for the life of me figure out what I'm doing wrong in changing it to -stop- using RC4. I am hosting through Bluehost at VPS level, which means I have access to WHM. Via Include Editor and what information I have on the subject, I have changed the Pre Main Includes for All Versions to have the following:

...because supposedly, that was an optimum security configuration (and most importantly, has no mention at all of RC4 in the first place. Doesn't work - according to tests, it still uses RC4. Likewise, using Global Configuration and entering that line in SSLCipherSuite, while accepted, still doesn't work. I've asked Bluehost, who basically pointed me at the Include Editor and an article on the subject and said 'you're on your own'; I figured that it might be smart to at least try asking here in case there's something I'm missing or something I need to do that I don't know about.

What am I doing wrong, and what do I need to do to get my site to be secure (and thus viewable)?

Using cipher:
ECDHE-RSA-AES128-GCM-SHA256:ECDHE-ECDSA-AES128-GCM-SHA256:ECDHE-RSA-AES256-GCM-SHA384:ECDHE-ECDSA-AES256-GCM-SHA384:DHE-RSA-AES128-GCM-SHA256:DHE-DSS-AES128-GCM-SHA256:kEDH+AESGCM:ECDHE-RSA-AES128-SHA256:ECDHE-ECDSA-AES128-SHA256:ECDHE-RSA-AES128-SHA:ECDHE-ECDSA-AES128-SHA:ECDHE-RSA-AES256-SHA384:ECDHE-ECDSA-AES256-SHA384:ECDHE-RSA-AES256-SHA:ECDHE-ECDSA-AES256-SHA:DHE-RSA-AES128-SHA256:DHE-RSA-AES128-SHA:DHE-DSS-AES128-SHA256:DHE-RSA-AES256-SHA256:DHE-DSS-AES256-SHA:DHE-RSA-AES256-SHA:ECDHE-RSA-DES-CBC3-SHA:ECDHE-ECDSA-DES-CBC3-SHA:AES128-GCM-SHA256:AES256-GCM-SHA384:AES128-SHA256:AES256-SHA256:AES128-SHA:AES256-SHA:AES:CAMELLIA:DES-CBC3-SHA:!aNULL:!eNULL:!EXPORT:!DES:!RC4:!MD5:!PSK:!aECDH:!EDH-DSS-DES-CBC3-SHA:!EDH-RSA-DES-CBC3-SHA:!KRB5-DES-CBC3-SHA